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Finding the Fourth Proportional to 31,842.09, 43,940.97 and 17,694

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Solution

The fourth proportional to 31,842.09, 43,940.97 and 17,694 is: 24,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.09 : 43,940.97 = 17,694 : x
  2. Step 2: Convert to fraction form
    31,842.09/43,940.97 = 17,694/x
  3. Step 3: Cross multiply
    31,842.09x = 43,940.97 × 17,694
  4. Step 4: Simplify right side
    31,842.09x = 777,491,523.18
  5. Step 5: Solve for x
    x = 777,491,523.18/31,842.09
  6. Step 6: Final answer
    x = 24,417.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.